426007200 has 144 divisors (see below), whose sum is σ = 1397723040. Its totient is φ = 112696320.

The previous prime is 426007157. The next prime is 426007213. The reversal of 426007200 is 2700624.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332962 + ... + 334238.

It is an arithmetic number, because the mean of its divisors is an integer number (9706410).

Almost surely, 2^426007200 is an apocalyptic number.

426007200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698861520).

426007200 is an abundant number, since it is smaller than the sum of its proper divisors (971715840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426007200 is a wasteful number, since it uses less digits than its factorization.

426007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 426007200 is about 20639.9418603832. The cubic root of 426007200 is about 752.4407594192.

Adding to 426007200 its reverse (2700624), we get a palindrome (428707824).

The spelling of 426007200 in words is "four hundred twenty-six million, seven thousand, two hundred".